61133045760 has 720 divisors, whose sum is σ = 228429504576. Its totient is φ = 15670444032.

The previous prime is 61133045741. The next prime is 61133045761. The reversal of 61133045760 is 6754033116.

61133045760 is a `hidden beast` number, since 6 + 113 + 30 + 457 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61133045761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736542679 + ... + 736542761.

Almost surely, 2^61133045760 is an apocalyptic number.

61133045760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61133045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114214752288).

61133045760 is an abundant number, since it is smaller than the sum of its proper divisors (167296458816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61133045760 is an frugal number, since it uses more digits than its factorization.

61133045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 61133045760 its reverse (6754033116), we get a palindrome (67887078876).

The spelling of 61133045760 in words is "sixty-one billion, one hundred thirty-three million, forty-five thousand, seven hundred sixty".